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Teaching ideal quantum measurement, from dynamics to interpretation
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Comparative analysis of spins-first and wave functions-first students’ understanding of expressions in quantum mechanics
Published 2025-02-01“…[This paper is part of the Focused Collection in Investigating and Improving Quantum Education through Research.] Instructors teaching upper-division quantum mechanics have had two primary options when it comes to textbook choice and thus curriculum sequence: starting with wave functions and the Schrödinger equation, referred to as “wave functions-first;” and starting with discrete spin-1/2 systems and Dirac notation, known as “spins-first” courses. …”
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Derivation of the Schrödinger equation V: Relativistic Equations of Quantum Mechanics and its epistemological impacts on teaching
Published 2025-01-01“…In this paper, we present a derivation of the relativistic equations of Quantum Mechanics. We focus on the second order equations (both Klein Gordon’s and Dirac’s), since the linear Dirac equation can be derived from these. …”
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Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation
Published 2025-01-01“…In this way, the Scholes model can be interpreted as a quantum-deformed model. Furthermore, by identifying the position coordinate <i>x</i> in quantum mechanics with the underlying asset <i>S</i>, which in finance satisfies stochastic dynamics, this analogy implies that the Black–Scholes equation becomes a quantum mechanical system defined over a random spatial geometry. …”
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Quantum and Classical Dynamics with Random Permutation Circuits
Published 2025-01-01“…A particularly interesting question concerns the role played by quantum mechanics in this process, i.e., whether thermalization in quantum many-body systems is fundamentally different from that in classical many-body systems and, if so, which of its features are genuinely quantum. …”
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Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances
Published 2015-01-01“…A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. …”
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A quantum-optimized approach for breast cancer detection using SqueezeNet-SVM
Published 2025-01-01“…SqueezeNet’s fire modules and complex bypass mechanisms extract distinct features from mammography images. …”
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The Kalām-based Continous Re-creation Approach of Basil Altaie Compared to Quantum Divine Action Models from Christian Contexts
Published 2024-12-01“…It is widely accepted that quantum theory predicts an indeterminism for the micro-processes of the physical realm, i.e. a future uncertainty that transcends mechanical necessity. …”
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Mechanical analogy for the wave-particle: helix on a vortex filament
Published 2002-01-01“…The complex-valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve. …”
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Can QBism exist without Q? Morphophoric measurements in generalised probabilistic theories
Published 2025-01-01“…We show that the theory built on this class of measurements retains the chief features of the QBism approach to the basis of quantum mechanics. In particular, we demonstrate how to extend the primal equation ('Urgleichung') of QBism, designed for SIC-POVMs, to the morphophoric case of GPTs. …”
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Noisy Approach to Intrinsically Mixed-State Topological Order
Published 2025-01-01“…Specifically, we show that decoherence, previously interpreted as anyon condensation in a doubled Hilbert space, is more naturally phrased as, and provides a physical mechanism for, “gauging out” anyons in the original Hilbert space. …”
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L’enseignement de la mécanique quantique grâce à un récit de fiction
Published 2021-12-01“…In higher education in France, in the third year of the physics degree course, the teaching of quantum mechanics is essentially quantitative and formalism is presented as part of the standard interpretation. …”
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A Covariant Canonical Quantization of General Relativity
Published 2018-01-01“…The metric tensor of GR is expressed in terms of the Bloch energy eigenstate functions of the quantum vacuum allowing an interpretation of GR in terms of the fundamental concepts of quantum mechanics.…”
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Bell's Inequalities, Superquantum Correlations, and String Theory
Published 2011-01-01“…We offer an interpretation of superquantum correlations in terms of a “doubly” quantum theory. …”
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From Boole to Leggett-Garg: Epistemology of Bell-Type Inequalities
Published 2016-01-01“…We show that similar considerations apply to other quantum interpretation-puzzles such as two-slit experiments.…”
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Asymmetric Information and Quantization in Financial Economics
Published 2012-01-01“…Our approach leverages statistical derivations of quantum mechanics which provide a natural basis for interpreting quantum formulations of social sciences generally and of economics in particular. …”
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Excitation Spectrum of the Néel Ensemble of Antiferromagnetic Nanoparticles as Revealed in Mössbauer Spectroscopy
Published 2017-01-01“…This approach allows one to describe also Mössbauer absorption spectra of slowly relaxing antiferromagnetic and ferrimagnetic nanoparticles and, in particular, to give a phenomenological interpretation of macroscopic quantum effects observed earlier in experimental absorption spectra and described within the quantum-mechanical representation.…”
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Human development I: Twenty Fundamental Problems of Biology, Medicine, and Neuro-Psychology Related to Biological Information
Published 2006-01-01“…We think biological organization is guided by energetic changes on the level of quantum mechanics, interacting with the intention that again guides the energetic conformation of the fractal structures to gain disorders or healthiness. …”
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PhyICNet: Physics-informed interactive learning convolutional recurrent network for spatiotemporal dynamics
Published 2024-12-01“…The numerical solution of spatiotemporal partial differential equations (PDEs) using the deep learning method has attracted considerable attention in quantum mechanics, fluid mechanics, and many other natural sciences. …”
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